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Finding the Fourth Proportional to 185.60, 276.88 and 169.28

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Solution

The fourth proportional to 185.60, 276.88 and 169.28 is: 252.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.60 : 276.88 = 169.28 : x
  2. Step 2: Convert to fraction form
    185.60/276.88 = 169.28/x
  3. Step 3: Cross multiply
    185.60x = 276.88 × 169.28
  4. Step 4: Simplify right side
    185.60x = 46,870.25
  5. Step 5: Solve for x
    x = 46,870.25/185.60
  6. Step 6: Final answer
    x = 252.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.